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minus identity MCQ Questions for Class 9

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22 questions tagged with minus identity.

Question 1/22 Hard Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 70

\(16a^2-40ab+25b^2\) किसका पूर्ण वर्ग है?

Whose perfect square is \(16a^2-40ab+25b^2\)?

Explanation opens after your attempt
Correct Answer

A. ((4a-5b)2)

Step 1

Concept

Here (16a-2=(4a)2) and (25b-2=(5b)2), with middle term (-2(4a)(5b)). Exam tip: identify negative perfect squares.

Step 2

Why this answer is correct

The correct answer is A. ((4a-5b)2). Here (16a-2=(4a)2) and (25b-2=(5b)2), with middle term (-2(4a)(5b)). Exam tip: identify negative perfect squares.

Step 3

Exam Tip

(16a-2=(4a)2) और (25b-2=(5b)2), बीच का पद (-2(4a)(5b)) है। परीक्षा में ऋणात्मक पूर्ण वर्ग पहचानें।

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Question 2/22 Easy Mathematics Exploring Algebraic Identities Factorisation Class 9 Level 75

\(a^2-2ab+b^2\) को गुणनखंडित करने पर क्या मिलेगा?

What is obtained by factorising \(a^2-2ab+b^2\)?

Explanation opens after your attempt
Correct Answer

A. ((a-b)2)

Step 1

Concept

This is the perfect square identity ((a-b)2). Exam tip: use the middle term (-2ab) as a clue.

Step 2

Why this answer is correct

The correct answer is A. ((a-b)2). This is the perfect square identity ((a-b)2). Exam tip: use the middle term (-2ab) as a clue.

Step 3

Exam Tip

यह ((a-b)2) की पूर्ण वर्ग पहचान है। परीक्षा में बीच के पद (-2ab) को संकेत मानें।

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Question 3/22 Easy Mathematics Exploring Algebraic Identities Visual models of identities Class 9 Level 72

भुजा (8-1) वाले वर्ग का क्षेत्र पहचान से कितना होगा?

Using identity, what is the area of a square with side (8-1)?

Explanation opens after your attempt
Correct Answer

D. (49)

Step 1

Concept

((8-1)2=64-16+1=49). Exam tip: use ((a-b)2) for mental calculation.

Step 2

Why this answer is correct

The correct answer is D. (49). ((8-1)2=64-16+1=49). Exam tip: use ((a-b)2) for mental calculation.

Step 3

Exam Tip

((8-1)2=64-16+1=49) होता है। परीक्षा में ((a-b)2) से मानसिक गणना करें।

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Question 4/22 Medium Mathematics Exploring Algebraic Identities Visual models of identities Class 9 Level 67

एक क्षेत्रफल मॉडल में भुजाएं (3a-2) और (3a-2) हैं। कुल क्षेत्रफल क्या होगा?

In an area model the sides are (3a-2) and (3a-2). What will be the total area?

Explanation opens after your attempt
Correct Answer

B. \(9a^2-12a+4\)

Step 1

Concept

((3a-2)2=9a-2-12a+4). Exam tip: the middle term comes from \(2\cdot 3a\cdot 2\).

Step 2

Why this answer is correct

The correct answer is B. \(9a^2-12a+4\). ((3a-2)2=9a-2-12a+4). Exam tip: the middle term comes from \(2\cdot 3a\cdot 2\).

Step 3

Exam Tip

((3a-2)2=9a-2-12a+4) है। परीक्षा में बीच का पद \(2\cdot 3a\cdot 2\) से आता है।

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Question 5/22 Easy Mathematics Exploring Algebraic Identities Visual models of identities Class 9 Level 70

भुजा \(x-2\) वाले वर्ग का क्षेत्र मॉडल किस विस्तार को सही दिखाता है?

Which expansion is correctly shown by the area model of a square with side \(x-2\)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-4x+4\)

Step 1

Concept

In \((x-2)^2\), there is \(x^2\), two subtracted \(2x\) parts, and \(4\) added. Exam tip: watch the negative sign.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-4x+4\). In \((x-2)^2\), there is \(x^2\), two subtracted \(2x\) parts, and \(4\) added. Exam tip: watch the negative sign.

Step 3

Exam Tip

\((x-2)^2\) में \(x^2\), घटे हुए दो \(2x\) भाग और \(4\) जुड़ता है। परीक्षा में ऋण चिह्न का ध्यान रखें।

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Question 6/22 Easy Mathematics Exploring Algebraic Identities Visual models of identities Class 9 Level 68

किस मॉडल में \(a^2-2ab+b^2\) को देखा जा सकता है?

In which model can \(a^2-2ab+b^2\) be seen?

Explanation opens after your attempt
Correct Answer

B. भुजा \(a-b\) का वर्गSquare of side \(a-b\)

Step 1

Concept

The form \(a^2-2ab+b^2\) is \((a-b)^2\). Exam tip: identify the subtraction square from the negative sign.

Step 2

Why this answer is correct

The correct answer is B. भुजा \(a-b\) का वर्ग / Square of side \(a-b\). The form \(a^2-2ab+b^2\) is \((a-b)^2\). Exam tip: identify the subtraction square from the negative sign.

Step 3

Exam Tip

\(a^2-2ab+b^2\) का रूप \((a-b)^2\) है। परीक्षा में ऋण चिह्न देखकर घटाव वाला वर्ग पहचानें।

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Question 7/22 Easy Mathematics Exploring Algebraic Identities Visual models of identities Class 9 Level 68

यदि \(99^2\) को \((100-1)^2\) के मॉडल से निकालें तो सही मान क्या है?

If \(99^2\) is found using the model of \((100-1)^2\), what is the correct value?

Explanation opens after your attempt
Correct Answer

A. \(9801\)

Step 1

Concept

\((100-1)^2=10000-200+1=9801\). Exam tip: in a subtraction square \(2ab\) is subtracted.

Step 2

Why this answer is correct

The correct answer is A. \(9801\). \((100-1)^2=10000-200+1=9801\). Exam tip: in a subtraction square \(2ab\) is subtracted.

Step 3

Exam Tip

\((100-1)^2=10000-200+1=9801\) है। परीक्षा में घटाव वाले वर्ग में \(2ab\) घटता है।

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Question 8/22 Easy Mathematics Exploring Algebraic Identities Visual models of identities Class 9 Level 68

भुजा \(a-b\) वाले वर्ग का क्षेत्रफल कौन सा होगा?

What is the area of a square with side \(a-b\)?

Explanation opens after your attempt
Correct Answer

B. \(a^2-2ab+b^2\)

Step 1

Concept

The area of the square is \((a-b)^2\). Expanding it gives \(a^2-2ab+b^2\).

Step 2

Why this answer is correct

The correct answer is B. \(a^2-2ab+b^2\). The area of the square is \((a-b)^2\). Expanding it gives \(a^2-2ab+b^2\).

Step 3

Exam Tip

वर्ग का क्षेत्रफल \((a-b)^2\) होता है। इसे फैलाने पर \(a^2-2ab+b^2\) मिलता है।

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Question 9/22 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

\( 998^2 \) का मान ( (1000-2)2 ) से क्या होगा?

What is the value of \( 998^2 \) using ( (1000-2)2 )?

Explanation opens after your attempt
Correct Answer

A. (996004)

Step 1

Concept

( (1000-2)2=1000000-4000+4=996004 ). Exam tip: keep the subtracted middle term correct.

Step 2

Why this answer is correct

The correct answer is A. (996004). ( (1000-2)2=1000000-4000+4=996004 ). Exam tip: keep the subtracted middle term correct.

Step 3

Exam Tip

( (1000-2)2=1000000-4000+4=996004 ) है। परीक्षा में घटने वाले मध्य पद को सही रखें।

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Question 10/22 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

\( 997^2 \) को पहचान से निकालने के लिए सबसे उपयुक्त रूप कौन-सा है?

Which form is most suitable for finding \( 997^2 \) using an identity?

Explanation opens after your attempt
Correct Answer

A. ( (1000-3)2 )सही रूप

Step 1

Concept

Since (997=1000-3), the square of difference identity is useful. Exam tip: choose a nearby base.

Step 2

Why this answer is correct

The correct answer is A. ( (1000-3)2 ) / सही रूप. Since (997=1000-3), the square of difference identity is useful. Exam tip: choose a nearby base.

Step 3

Exam Tip

(997=1000-3) इसलिए घटाव के वर्ग की पहचान उपयोगी है। परीक्षा में निकट आधार चुनें।

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Question 11/22 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

\( 9x^2-30x+25 \) किसका पूर्ण वर्ग है?

\( 9x^2-30x+25 \) is the perfect square of what?

Explanation opens after your attempt
Correct Answer

C. ( (3x-5)2 )

Step 1

Concept

(9x-2=(3x)2) and \(25=5^2\). The middle term is negative, so ( (3x-5)2 ) is correct.

Step 2

Why this answer is correct

The correct answer is C. ( (3x-5)2 ). (9x-2=(3x)2) and \(25=5^2\). The middle term is negative, so ( (3x-5)2 ) is correct.

Step 3

Exam Tip

(9x-2=(3x)2) और \(25=5^2\) है। बीच का पद ऋणात्मक है इसलिए ( (3x-5)2 ) सही है।

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Question 12/22 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

\( 299^2 \) को ( (300-1)2 ) से निकालने पर मान क्या होगा?

Using ( (300-1)2 ), what is the value of \( 299^2 \)?

Explanation opens after your attempt
Correct Answer

A. (89401)सही मान

Step 1

Concept

\(299^2=90000-600+1=89401\). Exam tip: subtract \(2\cdot300\cdot1\).

Step 2

Why this answer is correct

The correct answer is A. (89401) / सही मान. \(299^2=90000-600+1=89401\). Exam tip: subtract \(2\cdot300\cdot1\).

Step 3

Exam Tip

\(299^2=90000-600+1=89401\) है। परीक्षा में \(2\cdot300\cdot1\) घटाएँ।

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Question 13/22 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

\( 197^2 \) का मान पहचान से क्या होगा?

What is the value of \( 197^2 \) using an identity?

Explanation opens after your attempt
Correct Answer

A. (38809)

Step 1

Concept

(197=200-3), so ( (200-3)2=40000-1200+9=38809 ). Exam tip: subtract the middle term in ( (a-b)2 ).

Step 2

Why this answer is correct

The correct answer is A. (38809). (197=200-3), so ( (200-3)2=40000-1200+9=38809 ). Exam tip: subtract the middle term in ( (a-b)2 ).

Step 3

Exam Tip

(197=200-3) इसलिए ( (200-3)2=40000-1200+9=38809 )। परीक्षा में ( (a-b)2 ) में मध्य पद घटाएँ।

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Question 14/22 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

\( 16y^2-40y+25 \) किसका वर्ग है?

\( 16y^2-40y+25 \) is the square of what?

Explanation opens after your attempt
Correct Answer

C. ( (4y-5)2 )

Step 1

Concept

(16y-2=(4y)2) and \(25=5^2\). The negative middle term makes it ( (4y-5)2 ).

Step 2

Why this answer is correct

The correct answer is C. ( (4y-5)2 ). (16y-2=(4y)2) and \(25=5^2\). The negative middle term makes it ( (4y-5)2 ).

Step 3

Exam Tip

(16y-2=(4y)2) और \(25=5^2\) है। ऋणात्मक बीच का पद इसे ( (4y-5)2 ) बनाता है।

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Question 15/22 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

\( 49^2 \) निकालने के लिए (49) को किस रूप में लिखना सबसे सरल है?

To calculate \(49^2\), writing (49) in which form is simplest?

Explanation opens after your attempt
Correct Answer

C. (50-1)

Step 1

Concept

Writing (49=50-1) makes use of ( (a-b)2 ) easy. Exam tip: take a nearby round number.

Step 2

Why this answer is correct

The correct answer is C. (50-1). Writing (49=50-1) makes use of ( (a-b)2 ) easy. Exam tip: take a nearby round number.

Step 3

Exam Tip

(49=50-1) लिखने से ( (a-b)2 ) का उपयोग आसान होता है। परीक्षा में नजदीकी गोल संख्या लें।

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Question 16/22 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

\( 999^2 \) को किस रूप में निकालना सबसे आसान है?

Which form is easiest for finding \( 999^2 \)?

Explanation opens after your attempt
Correct Answer

B. ( (1000-1)2 )सही रूप

Step 1

Concept

Since (999=1000-1), use the square of difference identity. Exam tip: take nearby base (1000).

Step 2

Why this answer is correct

The correct answer is B. ( (1000-1)2 ) / सही रूप. Since (999=1000-1), use the square of difference identity. Exam tip: take nearby base (1000).

Step 3

Exam Tip

(999=1000-1) इसलिए घटाव के वर्ग की पहचान लगाएँ। परीक्षा में निकट आधार (1000) लें।

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Question 17/22 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

\( 97^2 \) का मान ( (100-3)2 ) से क्या होगा?

What is the value of \( 97^2 \) using ( (100-3)2 )?

Explanation opens after your attempt
Correct Answer

A. (9409)

Step 1

Concept

\(97^2=10000-600+9=9409\). Exam tip: note the negative middle term.

Step 2

Why this answer is correct

The correct answer is A. (9409). \(97^2=10000-600+9=9409\). Exam tip: note the negative middle term.

Step 3

Exam Tip

\(97^2=10000-600+9=9409\) है। परीक्षा में घटाव वाले मध्य पद पर ध्यान दें।

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Question 18/22 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 67

\( k^2-20k+100 \) किसका वर्ग है?

\( k^2-20k+100 \) is the square of what?

Explanation opens after your attempt
Correct Answer

B. ( (k-10)2 )

Step 1

Concept

\(100=10^2\) and the middle term is \(-20k=-2\times k\times10\). Exam tip: identify the negative middle term.

Step 2

Why this answer is correct

The correct answer is B. ( (k-10)2 ). \(100=10^2\) and the middle term is \(-20k=-2\times k\times10\). Exam tip: identify the negative middle term.

Step 3

Exam Tip

\(100=10^2\) और बीच का पद \(-20k=-2\times k\times10\) है। परीक्षा में ऋणात्मक बीच का पद पहचानें।

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Question 19/22 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 67

\( 49^2 \) को ( (50-1)2 ) से निकालिए।

Find \( 49^2 \) using ( (50-1)2 ).

Explanation opens after your attempt
Correct Answer

A. (2401)

Step 1

Concept

( (50-1)2=2500-100+1=2401 ). Exam tip: the middle term is subtracted in ( (a-b)2 ).

Step 2

Why this answer is correct

The correct answer is A. (2401). ( (50-1)2=2500-100+1=2401 ). Exam tip: the middle term is subtracted in ( (a-b)2 ).

Step 3

Exam Tip

( (50-1)2=2500-100+1=2401 )। परीक्षा में ( (a-b)2 ) में बीच का पद घटता है।

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Question 20/22 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (p-5q)2 ) का सही प्रसार चुनिए।

Choose the correct expansion of ( (p-5q)2 ).

Explanation opens after your attempt
Correct Answer

B. \(p^2-10pq+25q^2\)

Step 1

Concept

The middle term is \(-2\cdot p\cdot5q=-10pq\). Exam tip: write the square of (5q) as \(25q^2\).

Step 2

Why this answer is correct

The correct answer is B. \(p^2-10pq+25q^2\). The middle term is \(-2\cdot p\cdot5q=-10pq\). Exam tip: write the square of (5q) as \(25q^2\).

Step 3

Exam Tip

बीच का पद \(-2\cdot p\cdot5q=-10pq\) है। परीक्षा में (5q) का वर्ग \(25q^2\) लिखें।

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Question 21/22 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( 48^2 \) को ( (50-2)2 ) से निकालने पर मान क्या है?

Using ( (50-2)2 ), what is \( 48^2 \)?

Explanation opens after your attempt
Correct Answer

C. (2304)

Step 1

Concept

(2500-200+4=2304). Exam tip: the final \(b^2\) is always added.

Step 2

Why this answer is correct

The correct answer is C. (2304). (2500-200+4=2304). Exam tip: the final \(b^2\) is always added.

Step 3

Exam Tip

(2500-200+4=2304) होता है। परीक्षा में अंतिम \(b^2\) हमेशा जोड़ा जाता है।

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Question 22/22 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

\( 48^2 \) को किस रूप में लिखकर आसानी से निकाला जा सकता है?

Which form can be used to find \( 48^2 \) easily?

Explanation opens after your attempt
Correct Answer

A. ( (50-2)2 )

Step 1

Concept

Since (48=50-2), ( (50-2)2 ) is useful. Exam tip: write it using a nearby larger number.

Step 2

Why this answer is correct

The correct answer is A. ( (50-2)2 ). Since (48=50-2), ( (50-2)2 ) is useful. Exam tip: write it using a nearby larger number.

Step 3

Exam Tip

(48=50-2) इसलिए ( (50-2)2 ) उपयोगी है। परीक्षा में निकट बड़ी संख्या से घटाकर लिखें।

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